Scilab filter design7/19/2023 ![]() Here are coefficients for 5th and 6th order filters (fs=48kHz) I prepared using separate HPF (c2d)) and LPF (MIM):Ĥth order HPF, 1st order LPF: Ĥth order HPF, 2nd order LPF: Īnd a plot showing comparison against their analog model: The error shows a typical least squares behavior. The right-hand figure shows the approximation error, defined as the absolute value of the difference of the magnitude responses. The left figure shows that one can't see any difference between the logarithmic plots of the analog and the digital frequency responses. Note that both plots go up to Nyquist ($24$ kHz). It's a least squares approximation based on the equation error method, and I might write up all the details some day.īelow is a plot of the design result. The design procedure is a heuristic iterative procedure I came up with some time ago. I chose a sampling frequency of $48$ kHz. However this method suffers from extreme warping near nyquist (even when the analog poles/zeros are pre-warped):įigure 1: A-weighting frequency response comparison where the sample rate is $25600\textrm$$ One method is to use the bilinear transform (BLT) to convert the analog filter to the digital filter (as done here Applying A-weighting). But there's no definition for a digital filter. Z-transform of various sequences and verification of the properties of Z-transform.I want to A-weight a time series with arbitrary sample rate.Īn analog A-weighting filter is defined exactly by IEC 61672-1. Convolution of two sequences using commands and verification of the properties of convolution.ģ. List of Experiments For DIGITAL SIGNAL PROCESSING LAB Using Scilab(EC-692):Ģ. FIR filter design using rectangular, Hamming and Blackman windows. Butterworth filter design with different set of parameters.ĩ. Verifications of the different algorithms associated with filtering of long data sequences and Overlap –add and Overlap-save methods.Ĩ. Circular convolution of two sequences using graphical methods and using commands, differentiation between linear and circular convolutions.ħ. DFTs / IDFTs using matrix multiplication and also using commands.Ħ. Twiddle factors – verification of the properties.ĥ. Z-transform of various sequences – verification of the properties of Z-transform.Ĥ. Convolution of two sequences using graphical methods and using commands- verification of the properties of convolution.ģ. Sampled sinusoidal signal, various sequences and different arithmetic operations.Ģ. List of Experiments For DIGITAL SIGNAL PROCESSING LAB Using MATLAB (EC-692):ġ. Implementation of the Steady state error, Root locus, Bode Plot for a given open loop transfer function. Determination of step response of a given transfer function tr, tp, ts, mp of a given transfer function.ħ. Implementation of time response when inputs are unit impulse and unit step function.Ħ. Implementation the Laplace Transform and Inverse Laplace Transforms of function and transfer function of the block.ĥ. Implementation of Transfer Functions of system and Block Diagram Reduction.Ĥ. ![]() List of Experiments For CONTROL SYSTEM LAB Using MATLAB (EC-593):ģ. Study the convolution of two sequences (functions) in Discrete ![]() Study the components of Square wave and Clipped sine wave.ĩ. Study of sampling theorem for low pass signals and band pass signalsĨ. Study of sampling of analog signals and effect of different sampling rates on sampled output.ħ. Study of LPF, HPF, Band pass and Band reject filters using RC circuits.Ħ. Study of Signal Synthesis via sum of harmonics.ĥ. Study Z-transform of sinusoidal signals and step functions.Ĥ. List of Experiments For Signals
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